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Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories
Joint Authors
Nguyen, Dinh Kien
Le, Cong Ich
Pham, Vu Nam
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A refined third-order shear deformation theory (RTSDT), in which the transverse displacement is split into bending and shear parts, is employed to formulate a four-node quadrilateral finite element for free vibration analysis of functionally graded sandwich (FGSW) plates partially supported by a Pasternak foundation.
An element based on the refined first-order shear deformation theory (RFSDT) which requires a shear correction factor is also derived for comparison purpose.
The plates consist of a fully ceramic core and two functionally graded skin layers with material properties varying in the thickness direction by a power gradation law.
The Mori–Tanaka scheme is employed to evaluate the effective moduli.
The elements are derived using Lagrangian and Hermitian polynomials to interpolate the in-plane and transverse displacements, respectively.
The numerical result reveals that the frequencies obtained by the RTSDT element are slightly higher than the ones using the RFSDT element.
It is also shown that the foundation supporting area plays an important role on the vibration of the plates, and the effect of the material distribution on the frequencies is dependent on this parameter.
A parametric study is carried out to highlight the effects of the material inhomogeneity, the foundation stiffness parameters, and the foundation supporting area on the frequencies and vibration modes.
The influence of the layer thickness and aspect ratios on the frequencies is also examined and highlighted.
American Psychological Association (APA)
Le, Cong Ich& Pham, Vu Nam& Nguyen, Dinh Kien. 2020. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
Modern Language Association (MLA)
Le, Cong Ich…[et al.]. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
American Medical Association (AMA)
Le, Cong Ich& Pham, Vu Nam& Nguyen, Dinh Kien. Free Vibration of FGSW Plates Partially Supported by Pasternak Foundation Based on Refined Shear Deformation Theories. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197726